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Finding the Fourth Proportional to 156.60, 215.24 and 138.07

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Solution

The fourth proportional to 156.60, 215.24 and 138.07 is: 189.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.60 : 215.24 = 138.07 : x
  2. Step 2: Convert to fraction form
    156.60/215.24 = 138.07/x
  3. Step 3: Cross multiply
    156.60x = 215.24 × 138.07
  4. Step 4: Simplify right side
    156.60x = 29,718.54
  5. Step 5: Solve for x
    x = 29,718.54/156.60
  6. Step 6: Final answer
    x = 189.77

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.